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Finding the Fourth Proportional to 178,095.50, 245,771.79 and 102,648.86

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Solution

The fourth proportional to 178,095.50, 245,771.79 and 102,648.86 is: 141,655.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,095.50 : 245,771.79 = 102,648.86 : x
  2. Step 2: Convert to fraction form
    178,095.50/245,771.79 = 102,648.86/x
  3. Step 3: Cross multiply
    178,095.50x = 245,771.79 × 102,648.86
  4. Step 4: Simplify right side
    178,095.50x = 25,228,194,063.66
  5. Step 5: Solve for x
    x = 25,228,194,063.66/178,095.50
  6. Step 6: Final answer
    x = 141,655.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.